Sr Examen
Integral de 3^-x(7+2^x+1) dx
Solución
Ha introducido
[src]
1 / | | -x / x \ | 3 *\7 + 2 + 1/ dx | / 0
$$\int\limits_{0}^{1} 3^{- x} \left(\left(2^{x} + 7\right) + 1\right)\, dx$$
Integral(3^(-x)*(7 + 2^x + 1), (x, 0, 1))
Gráfica
Respuesta
[src]
9*log(3) 8*log(2) 8*log(2) 10*log(3)
- ------------------------- - ----------------------------- + ------------------------- + -----------------------------
2 2 2 2
- log (3) + log(2)*log(3) - 3*log (3) + 3*log(2)*log(3) - log (3) + log(2)*log(3) - 3*log (3) + 3*log(2)*log(3)
$$\frac{8 \log{\left(2 \right)}}{- \log{\left(3 \right)}^{2} + \log{\left(2 \right)} \log{\left(3 \right)}} + \frac{10 \log{\left(3 \right)}}{- 3 \log{\left(3 \right)}^{2} + 3 \log{\left(2 \right)} \log{\left(3 \right)}} - \frac{8 \log{\left(2 \right)}}{- 3 \log{\left(3 \right)}^{2} + 3 \log{\left(2 \right)} \log{\left(3 \right)}} - \frac{9 \log{\left(3 \right)}}{- \log{\left(3 \right)}^{2} + \log{\left(2 \right)} \log{\left(3 \right)}}$$
=
=
9*log(3) 8*log(2) 8*log(2) 10*log(3)
- ------------------------- - ----------------------------- + ------------------------- + -----------------------------
2 2 2 2
- log (3) + log(2)*log(3) - 3*log (3) + 3*log(2)*log(3) - log (3) + log(2)*log(3) - 3*log (3) + 3*log(2)*log(3)
$$\frac{8 \log{\left(2 \right)}}{- \log{\left(3 \right)}^{2} + \log{\left(2 \right)} \log{\left(3 \right)}} + \frac{10 \log{\left(3 \right)}}{- 3 \log{\left(3 \right)}^{2} + 3 \log{\left(2 \right)} \log{\left(3 \right)}} - \frac{8 \log{\left(2 \right)}}{- 3 \log{\left(3 \right)}^{2} + 3 \log{\left(2 \right)} \log{\left(3 \right)}} - \frac{9 \log{\left(3 \right)}}{- \log{\left(3 \right)}^{2} + \log{\left(2 \right)} \log{\left(3 \right)}}$$
-9*log(3)/(-log(3)^2 + log(2)*log(3)) - 8*log(2)/(-3*log(3)^2 + 3*log(2)*log(3)) + 8*log(2)/(-log(3)^2 + log(2)*log(3)) + 10*log(3)/(-3*log(3)^2 + 3*log(2)*log(3))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.